Upper Estimates for Stable Dimensions on Fractal Sets with Variable Numbers of Foldings

DOI10.1093/imrn/rnt168zbMath1312.37031arXiv1301.1827OpenAlexW2963549285MaRDI QIDQ2935164

Bernd O. Stratmann, Eugen Mihailescu

Publication date: 22 December 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1827

zbMATH Keywords

upper box dimensionstable dimensionpreimage counting function

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Invariant manifold theory for dynamical systems (37D10)

Related Items (9)

Geometry of measures in random systems with complete connections ⋮ Overlap functions for measures in conformal iterated function systems ⋮ Random countable iterated function systems with overlaps and applications ⋮ Inverse pressure for finitely generated semigroups ⋮ Thermodynamic formalism for invariant measures in iterated function systems with overlaps ⋮ Hyperbolic lifts and estimates for overlap numbers ⋮ Skew product Smale endomorphisms over countable shifts of finite type ⋮ Smale endomorphisms over graph-directed Markov systems ⋮ Hausdorff dimension of thin higher-dimensional solenoidal attractors

This page was built for publication: Upper Estimates for Stable Dimensions on Fractal Sets with Variable Numbers of Foldings